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63143244234136 = 23117940492243207
BaseRepresentation
bin11100101101101101011101…
…01001000111110110011000
322021120102202020221211202101
432112312232221013312120
531234014331010443021
6342143334515013144
716204643312203423
oct1626665651076630
9267512666854671
1063143244234136
1119134999258060
1270b970089a1b4
1329304c8128a41
141184213a7c9ba
15747779c52a91
hex396daea47d98

63143244234136 has 64 divisors (see below), whose sum is σ = 130823890560000. Its totient is φ = 28331153410560.

The previous prime is 63143244234097. The next prime is 63143244234139.

63143244234136 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63143244234139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27027045 + ... + 29270251.

It is an arithmetic number, because the mean of its divisors is an integer number (2044123290000).

Almost surely, 263143244234136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63143244234136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65411945280000).

63143244234136 is an abundant number, since it is smaller than the sum of its proper divisors (67680646325864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63143244234136 is a wasteful number, since it uses less digits than its factorization.

63143244234136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247352 (or 2247348 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 46.

The spelling of 63143244234136 in words is "sixty-three trillion, one hundred forty-three billion, two hundred forty-four million, two hundred thirty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1738 3476 4049 6952 8098 16196 32392 44539 89078 178156 319871 356312 639742 1279484 2243207 2558968 3518581 4486414 7037162 8972828 14074324 17945656 24675277 28148648 49350554 98701108 177213353 197402216 354426706 708853412 1417706824 1949346883 3898693766 7797387532 9082745143 15594775064 18165490286 36330980572 72661961144 99910196573 199820393146 399640786292 717536866297 799281572584 1435073732594 2870147465188 5740294930376 7892905529267 15785811058534 31571622117068 63143244234136